Algorithms for determining computationally rigorous componentwise bounds on the solutions x ∈ R n of equations F(x, t) = 0 ∈ R m containing parameters t ∈ R l due to small perturbations in t when m ≤ n and when F is at most twice continuously differentiable in x and in t are described. Numerical results which illustrate the behaviour of the algorithms are presented.
Reliable Computing – Springer Journals
Published: Oct 13, 2004
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